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825807708769 is a prime number
BaseRepresentation
bin11000000010001011111…
…10011010001001100001
32220221112221220011221011
430001011332122021201
5102012223233140034
61431212033100521
7113443166464321
oct14010576321141
92827487804834
10825807708769
1129924aa1732a
121140693b7741
135cb47934774
142bd7dac3281
1516733d60864
hexc045f9a261

825807708769 has 2 divisors, whose sum is σ = 825807708770. Its totient is φ = 825807708768.

The previous prime is 825807708743. The next prime is 825807708809. The reversal of 825807708769 is 967807708528.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 507959820369 + 317847888400 = 712713^2 + 563780^2 .

It is a cyclic number.

It is not a de Polignac number, because 825807708769 - 219 = 825807184481 is a prime.

It is a super-2 number, since 2×8258077087692 (a number of 25 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (825807708269) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 412903854384 + 412903854385.

It is an arithmetic number, because the mean of its divisors is an integer number (412903854385).

Almost surely, 2825807708769 is an apocalyptic number.

It is an amenable number.

825807708769 is a deficient number, since it is larger than the sum of its proper divisors (1).

825807708769 is an equidigital number, since it uses as much as digits as its factorization.

825807708769 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 94832640, while the sum is 67.

The spelling of 825807708769 in words is "eight hundred twenty-five billion, eight hundred seven million, seven hundred eight thousand, seven hundred sixty-nine".